What is the Greatest Common Factor of 29064 and 29078?

Greatest common factor (GCF) of 29064 and 29078 is 14.

GCF(29064,29078) = 14

We will now calculate the prime factors of 29064 and 29078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29064 and 29078.

How to find the GCF of 29064 and 29078?

We will first find the prime factorization of 29064 and 29078. After we will calculate the factors of 29064 and 29078 and find the biggest common factor number .

Step-1: Prime Factorization of 29064

Prime factors of 29064 are 2, 3, 7, 173. Prime factorization of 29064 in exponential form is:

29064 = 2³ × 3¹ × 7¹ × 173¹

Step-2: Prime Factorization of 29078

Prime factors of 29078 are 2, 7, 31, 67. Prime factorization of 29078 in exponential form is:

29078 = 2¹ × 7¹ × 31¹ × 67¹

Step-3: Factors of 29064

List of positive integer factors of 29064 that divides 29064 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 173, 346, 519, 692, 1038, 1211, 1384, 2076, 2422, 3633, 4152, 4844, 7266, 9688, 14532

Step-4: Factors of 29078

List of positive integer factors of 29078 that divides 29064 without a remainder.

1, 2, 7, 14, 31, 62, 67, 134, 217, 434, 469, 938, 2077, 4154, 14539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29064 and 29078. The biggest common factor number is the GCF number.
So the greatest common factor 29064 and 29078 is 14.

Also check out the Least Common Multiple of 29064 and 29078